95.26: Two positive point charges rep4;yed09i lg jsel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each othedjg0si4 y;9 elr when their separation is 1.0 m?

  12.13 Approximately how many electrons must) q.nlr4 l wg5qqzbln 0,kh1+y be removed from an electrically neutqh5ln q,)+ryl1nw lk z .gqb40ral object to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of el pe hi3e;q;:jo 7p:cbdectrons in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents the number of electrons that pass through a vertical cross-section of the wire du ;7he:ebiqp3dcp;oj: ring this time?

  13.07: Two identical particles are fixej+ 6 vke(sh(jwd in place a distance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the following choices best represents the magnitude of each partiv6 wh+skej(j (cle’s charge?

  07.25: If two protons are spaced by a distance R, what is the rati wagp6ile q3p nb)id* 6nk3n/(o of the gravitational )padb*n3in pg qinew( 3kl6/6 force that one
proton exerts on the other to the electric force that one proton exerts on the other?That is,$\frac{F_{gravity}}{F_{electric}}$=

  10.12: A scientist sets up an experiment with a proton of charge Q and +fwm w(qk3xe*mass M being placed near a helium nucleus (2 protons and 2 neutrons) of charge +2Q and mass 4M.m*w(f+3 w ekxq The objects are each released from rest and begin to move. From the scientist’s point of view, which choice best describes the object that experiences the greatest magnitude of electric force from the other and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with charge q and weight mg is attached to one eut- yo+kc(554lq ag qw27n :gbn(urgnnd of a strin5 ryku2cw-7+ t(agnqob4(lqg:u nn5g g of length L. The other end is attached to a stationary support. The system is placed in a uniform horizontal electric field E, as shown in the accompanying figure. In the presence of the field, the string makes a constant angle q with the vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connected to angy.o9h e: u*,(w hdsil insulating massless string in a vacuum on Earth. A uniform electric field exists throughout the region of the vacuum as indicateloi(* u: gwes hh.yd,9d. The mass remains in static equilibrium at an angle of θ with the vertical as shown in the figure. When the string is cut, which of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enx.q fr6j6ftlq,60 bllter a region between charged capacitor plates with equal speed v. Electron A is directed horizontally to the left while electron B is directf0.j,bx6 tl q6qlfrl6 ed at$30^{\circ}$below the horizontal. Each electron makes it to the left-hand plate. Which one of the following choices best compares the speeds of the charges ( $V_A$, $V_B$) upon arrival at the left plate? Consider only the electrons A and B’s interactions with the constant electric field between the plates, ignoring any relativistic effects.

  08.06: A positive point charge exerts a force of mad ej,dhh0u,1/sw(fbb rg, yq+ gnitude F on a negative point charge placed a distance x away. If the distance between the twdj /1fb d(,,b,r0hqg h+uws eyo point charges is halved, what is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a distance R, thg7ey la+jo.h* e force between them is F. If the diso gylj +*hae.7tance between them is quadrupled, the force between them is

  03.18: Two identical electrici 21b 9ed(tnf zkqd.4sal point charges Q, separated by a distance produce an electrical force ofF on one another. If the distance is tk9di.esf bqd (1nz24decreased to a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is plfvyfw kv01bz,gwda) b:s/c4 ;aced midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s consta:;dfy4ab g),kbwz f 1v 0/wcvsnt is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q: pqhae,wvsq7 nnfd9*32vhdb25tgeg1c + oa 0 and a negative point charge of -q are separated by a distance d. What would be the magnitude ofq1g+a 2*vhvb92q3ngn oh0 at7sd wecpfd:e,5 the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty spa0 pxp*39 hfv wi2 afja+:vu;j.okf8yace as shown below.oj;aahau:vf *9i02x p+f8wfp3yvkj .
In which Region(s) is there a place on the x-axis (aside from infinity) at which the electric potential is equal to zero?

  08.34: Two point charges are fixed on the x-axis in otherwise emptyl/ v.s;mp : clcuk9sv+ space as shown below. ;uc9vslp/. lvm :kc+ s
In which Region(s) is there a place on the x-axis (aside from infinity) at which the electric field is equal to zero?

  98.23: Two charges +Q and –4Q are arranged as shown in the acn*pd2) l ryuv9 (kh6psqc32d hcompanying diagram. At wh*uqd (3pk dsr)h9c pnyvl h262ich of the labeled points is the field most nearly zero?

  98.30: Four positive point charges k/c qzb .tx88l q:09vdind(gdare arranged as shown in the accompanying diagram. The force between chab: ./ z98d (q08dgtdxinvckql rges 1 and 3 is 6.0 N; the force between charges 2 and 3 is 5.0 N; and the force between charges 3 and 4 is 3.0 N. The magnitude of the total force on charge 3 is most nearly

  94.08: A point charge of +4.0 μC is placed on the negative x-axis 0.20 m ; kum,56ptskpto the left of the origin, as shown in the accompanying figure. A second point charge q is placed on the positive x-axis 0.30 mto the right of the origin. The net electric field at the origin is zerop6sum,pt k ;k5. What is q?

  95.36: Assume the electric poten5n;5 /o usdjuynw 4p.vtial is zero at infinity. A point charge of +4.0μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying figure. A second point charge q is placed on the positive x-axis 0.30 m to the right of the origin. The net electric potential at the origin is also zero. What is q’s chargeu .55/p ;yjvwonuds4n?

  03.27: Four electrical charges are arrav o +68:oe6f*q hmzti4bvmw. gnged on the corners of a 10 cm square as shown. What wou*:g8vb etmmzo6f o v+.4h6iqwld be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are .2a98sldmx.q6iebu / z1g0. eyyy lc ofixed in place on the x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along tas 2gubl y8xd.0l196yyqom. ec e/.zihey-axis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which one of teikft4p 26p.n he following choices best represents the direction of the electric field at the point P and the sign e 6kppi4. tf2nof the electric potential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and j y;e-ife8vb( j fg 81w9hbhy*a charge per unit length gihjb(;8f8g1yh9i eyj -vfwb* even as $λ=λ_0cosθ$ with θ defined in the figure and $λ_0$ a positive constant. Which one of the following choices gives the electric field strength at the point labeled P?